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96694320 = 24353710889
BaseRepresentation
bin1011100001101…
…11000000110000
320201221120200010
411300313000300
5144223204240
613332254520
72252613432
oct560670060
9221846603
1096694320
114a643968
1228471440
1317056c98
14cbb0652
158750280
hex5c37030

96694320 has 80 divisors (see below), whose sum is σ = 307882080. Its totient is φ = 25085952.

The previous prime is 96694307. The next prime is 96694321. The reversal of 96694320 is 2349669.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (96694321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3436 + ... + 14324.

It is an arithmetic number, because the mean of its divisors is an integer number (3848526).

Almost surely, 296694320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96694320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153941040).

96694320 is an abundant number, since it is smaller than the sum of its proper divisors (211187760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

96694320 is a wasteful number, since it uses less digits than its factorization.

96694320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10942 (or 10936 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 96694320 is about 9833.3270056477. The cubic root of 96694320 is about 458.9869324791.

The spelling of 96694320 in words is "ninety-six million, six hundred ninety-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 10889 21778 32667 43556 54445 65334 87112 108890 130668 163335 174224 217780 261336 326670 402893 435560 522672 653340 805786 871120 1208679 1306680 1611572 2014465 2417358 2613360 3223144 4028930 4834716 6043395 6446288 8057860 9669432 12086790 16115720 19338864 24173580 32231440 48347160 96694320